RG analysis at higher orders in perturbative QFTs in CMP

Abstract

In this contribution we report on the perturbative determination of β-functions and anomalous dimensions for the chiral Ising, chiral XY and chiral Heisenberg Gross-Neveu-Yukawa model around D=4 dimensions at four loops and the first Pad\'e extrapolation of critical exponents at non-trivial, infrared stable fixed points to D=3 to this order. This talk is based on Ref. [Zerf:2017zqi].

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